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166156436 = 22174161977
BaseRepresentation
bin10011110011101…
…01100010010100
3102120122121210002
421321311202110
5320014001221
624253150432
74055210045
oct1171654224
9376577702
10166156436
1185877876
124778b418
1328567a24
14180d28cc
15e8c180b
hex9e75894

166156436 has 48 divisors (see below), whose sum is σ = 320885712. Its totient is φ = 74956800.

The previous prime is 166156427. The next prime is 166156447. The reversal of 166156436 is 634651661.

166156436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4866436 + 161290000 = 2206^2 + 12700^2 .

It is a super-2 number, since 2×1661564362 = 55215922448444192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166156436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169580 + ... + 170556.

It is an arithmetic number, because the mean of its divisors is an integer number (6685119).

Almost surely, 2166156436 is an apocalyptic number.

It is an amenable number.

166156436 is a deficient number, since it is larger than the sum of its proper divisors (154729276).

166156436 is a wasteful number, since it uses less digits than its factorization.

166156436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 166156436 is about 12890.1681912999. The cubic root of 166156436 is about 549.7590525864.

The spelling of 166156436 in words is "one hundred sixty-six million, one hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 41 61 68 82 122 164 244 697 977 1037 1394 1954 2074 2501 2788 3908 4148 5002 10004 16609 33218 40057 42517 59597 66436 80114 85034 119194 160228 170068 238388 680969 1013149 1361938 2026298 2443477 2723876 4052596 4886954 9773908 41539109 83078218 166156436